Global Attractivity and Extinction of a Discrete Competitive System with Infinite Delays and Single Feedback Control

Autor:	Yalong Xue, Xiangdong Xie, Qifa Lin, Fengde Chen
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Mathematics QA1-939
Zdroj:	Discrete Dynamics in Nature and Society, Vol 2018 (2018)
Druh dokumentu:	article
ISSN:	1026-0226 1607-887X
DOI:	10.1155/2018/1893181
Popis:	A nonautonomous discrete two-species competition system with infinite delays and single feedback control is considered in this paper. Based on the discrete comparison theorem, a set of sufficient conditions which guarantee the permanence of the system is obtained. Then, by constructing some suitable discrete Lyapunov functionals, some sufficient conditions for the global attractivity and extinction of the system are obtained. It is shown that, by choosing some suitable feedback control variable, one of two species will be driven to extinction.
Databáze:	Directory of Open Access Journals
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